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Finding the Fourth Proportional to 11,465.90, 15,823.76 and 6,363.09

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Solution

The fourth proportional to 11,465.90, 15,823.76 and 6,363.09 is: 8,781.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,465.90 : 15,823.76 = 6,363.09 : x
  2. Step 2: Convert to fraction form
    11,465.90/15,823.76 = 6,363.09/x
  3. Step 3: Cross multiply
    11,465.90x = 15,823.76 × 6,363.09
  4. Step 4: Simplify right side
    11,465.90x = 100,688,009.02
  5. Step 5: Solve for x
    x = 100,688,009.02/11,465.90
  6. Step 6: Final answer
    x = 8,781.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.